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is Solutions Pamphlet gives at least one solution for each problem on this year’s AIME and shows that all the problems can be solved using precalculus mathematics. When more than one solution for a problem is provided, this is done to illustrate a significant contrast in methods. e solutions are by no means the only ones possible, nor are they necessarily superior to others the reader may devise. We hope that teachers inform their students about these solutions, both as illustrations of the kinds of ingenuity needed to solve nonroutine problems and as examples of good mathematical exposition. Routine calculations and reasons for proceeding in a certain way are oſten omitted. is gives greater emphasis to the essential ideas behind each solution. e publication, reproduction, or communication of the problems or solutions for this contest during the period when students are eligible to participate seriously jeopardizes the integrity of the results. Dissemination at any time during this period, via copier, telephone, email, internet, or media of any type is a violation of the competition rules. Correspondence about the problems/solutions for this AIME and orders for any publications should be addressed to: MAA American Mathematics Competitions Attn: Publications, PO Box 471, Annapolis Junction, MD 20701 Phone 800.527.3690 | Fax 240.396.5647 | [email protected] e problems and solutions for this AIME were prepared by the MAA’s Committee on the AIME under the direction of: Jonathan M. Kane AIME Chair © 2019 Mathematical Association of America Solutions Pamphlet MAA American Mathematics Competitions 37th Annual AIME I American Invitational Mathematics Examination I Wednesday, March 13, 2019
